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Titlebook: Cardinal Invariants on Boolean Algebras; Second Revised Editi J. Donald Monk Book 2014Latest edition Springer Basel 2014 Boolean algebra.ca

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https://doi.org/10.1007/3-540-06721-3Again we note first of all that if . is a non-principal ultrafilter in a BA ., then ..
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Gustav Georg Belz,Martin StauchRecall from just before Proposition 13.4 the definition of a right-separated sequencein a topological space. Let . be an ordinal.
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Gustav Georg Belz,Martin Stauch(Note that when we say that . is a tree included in ., we mean merely that . is a subset of . which is a tree under the induced ordering; there is no assumption that incomparable elements (in . ) are disjoint (in the dual of .).) ..
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Gustav Georg Belz,Martin Stauch., h-cof.. sup. : ....
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Special Operations on Boolean Algebras,We give the basic definitions and facts about several operations on Boolean algebras which were not discussed in the Handbook.
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Special Classes of Boolean Algebras,We discuss several special classes of Boolean algebras not mentioned in the Handbook.
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Cellularity,A BA . is said to satisfy the κ-. (κ-cc) if every disjoint subset of . has power <κ. Thus for κ non-limit, this is the same as saying that the cellularity of . is <κ. Of most interest is the ω.-chain condition, called ccc for short (countable chain condition). We shall return to it below.
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